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Simplifying -10(4x + -12y) + -5(4y + -6x) = 0 (4x * -10 + -12y * -10) + -5(4y + -6x) = 0 (-40x + 120y) + -5(4y + -6x) = 0 Reorder the terms: -40x + 120y + -5(-6x + 4y) = 0 -40x + 120y + (-6x * -5 + 4y * -5) = 0 -40x + 120y + (30x + -20y) = 0 Reorder the terms: -40x + 30x + 120y + -20y = 0 Combine like terms: -40x + 30x = -10x -10x + 120y + -20y = 0 Combine like terms: 120y + -20y = 100y -10x + 100y = 0 Solving -10x + 100y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100y' to each side of the equation. -10x + 100y + -100y = 0 + -100y Combine like terms: 100y + -100y = 0 -10x + 0 = 0 + -100y -10x = 0 + -100y Remove the zero: -10x = -100y Divide each side by '-10'. x = 10y Simplifying x = 10y
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